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Finding the Third Proportional to 341.84 and 726.41

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Solution

The third proportional to 341.84 and 726.41 is: 1,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 726.41 = 726.41 : x
  2. Step 2: Convert to fraction form
    341.84/726.41 = 726.41/x
  3. Step 3: Cross multiply
    341.84x = 726.41 × 726.41
  4. Step 4: Simplify right side
    341.84x = 527,666.04
  5. Step 5: Solve for x
    x = 527,666.04/341.84
  6. Step 6: Final answer
    x = 1,543.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.